Search a number
-
+
8056992 = 253234189
BaseRepresentation
bin11110101111000010100000
3120011100010010
4132233002200
54030310432
6444404520
7125324526
oct36570240
916140103
108056992
114603379
122846740
131891368
1410da316
15a923cc
hex7af0a0

8056992 has 96 divisors (see below), whose sum is σ = 22861440. Its totient is φ = 2478080.

The previous prime is 8056991. The next prime is 8057003. The reversal of 8056992 is 2996508.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 8056992.

It is not an unprimeable number, because it can be changed into a prime (8056991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90484 + ... + 90572.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

Almost surely, 28056992 is an apocalyptic number.

8056992 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8056992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430720).

8056992 is an abundant number, since it is smaller than the sum of its proper divisors (14804448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8056992 is a wasteful number, since it uses less digits than its factorization.

8056992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 8056992 is about 2838.4841024744. The cubic root of 8056992 is about 200.4738099675.

The spelling of 8056992 in words is "eight million, fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 69 82 89 92 96 123 138 164 178 184 246 267 276 328 356 368 492 534 552 656 712 736 943 984 1068 1104 1312 1424 1886 1968 2047 2136 2208 2829 2848 3649 3772 3936 4094 4272 5658 6141 7298 7544 8188 8544 10947 11316 12282 14596 15088 16376 21894 22632 24564 29192 30176 32752 43788 45264 49128 58384 65504 83927 87576 90528 98256 116768 167854 175152 196512 251781 335708 350304 503562 671416 1007124 1342832 2014248 2685664 4028496 8056992